CAS Exam MAS-I Spring 2019, Question 16
Study guide: Exam MAS-I
Suppose that X_1, \ldots, X_{10} is a random sample from the standard normal distribution, N(0, 1). An actuary is using \frac{1}{n}\sum_{i=1}^{n}(X_i - \bar{X})^2 to estimate the population variance, where \bar{X} = \frac{1}{n}\sum_{i=1}^{n} X_i
Calculate the bias of this estimator.
- A) Less than -0.2
- B) At least -0.2, but less than 0.0
- C) At least 0.0, but less than 0.2
- D) At least 0.2, but less than 0.4
- E) At least 0.4
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